How to get the answer to 2/3(3x+6)=4x+3 without using distributive property.

The answer for the given equation is x = 3.5.

Step-by-step explanation:

Given, 2 / 3 (3x + 6) = 4x + 3

Step 1:

Rearranging the given equation by subtracting the right side of the equation to the left side.

                           2 / 3 (3x + 6) - 4x + 3 = 0

Step 2:

Taking out the like terms, the equation becomes

                          (2 / 3) 3 (x + 2) - (4x - 3) = 0

                          ⇒   2 (x + 2) - (4x - 3) = 0

Step 3:

Solving the equation for the value of x,

                          ⇒    2x + 4 - 4x + 3 = 0

                          ⇒    -2x + 7 = 0

                          ⇒     -2x = -7

                          ⇒     x = 7 / 2 = 3.5.

Hence the value of x = 3.5.

answer: you need the equation in the question so i can answer it

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places